메뉴 건너뛰기




Volumn 135, Issue 1, 1997, Pages 8-29

A Simple Level Set Method for Solving Stefan Problems

Author keywords

[No Author keywords available]

Indexed keywords

DROP BREAKUP; FINITE DIFFERENCE METHOD; LEVEL MEASUREMENT; PROBLEM SOLVING; SOLIDIFICATION;

EID: 0002631224     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5721     Document Type: Article
Times cited : (468)

References (29)
  • 1
    • 0000299096 scopus 로고
    • Variational algorithms and pattern formation in dendritic solidification
    • Almgren R. Variational algorithms and pattern formation in dendritic solidification. J. Comput. Phys. 106:1993;337.
    • (1993) J. Comput. Phys. , vol.106 , pp. 337
    • Almgren, R.1
  • 2
    • 0026930242 scopus 로고
    • Numerical simulations of unsteady crystal growth
    • Brattkus K., Meiron D. I. Numerical simulations of unsteady crystal growth. SIAM J. Appl. Math. 52:1992;1303.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1303
    • Brattkus, K.1    Meiron, D.I.2
  • 3
    • 0002920401 scopus 로고
    • Computation of sharp phase boundaries by spreading: The planar and spherically symmetric cases
    • Caginalp G., Socolovsky E. A. Computation of sharp phase boundaries by spreading: the planar and spherically symmetric cases. J. Comput. Phys. 95:1991;85.
    • (1991) J. Comput. Phys. , vol.95 , pp. 85
    • Caginalp, G.1    Socolovsky, E.A.2
  • 5
    • 85190567451 scopus 로고
    • Regularization of Ill-Posed Problems Via the Level Set Approach
    • Harabetian E., Osher S. Regularization of Ill-Posed Problems Via the Level Set Approach. UCLA CAM Report. 95-41:1995.
    • (1995) UCLA CAM Report , vol.9541
    • Harabetian, E.1    Osher, S.2
  • 6
    • 0001309752 scopus 로고
    • Temperature field around spherical, cylindrical and acircular crystal growing in a supercooled melt
    • Ivantsov G. P. Temperature field around spherical, cylindrical and acircular crystal growing in a supercooled melt. Dokl. Akad. Nauk SSSR. 58:1947;567.
    • (1947) Dokl. Akad. Nauk SSSR , vol.58 , pp. 567
    • Ivantsov, G.P.1
  • 7
    • 0029684784 scopus 로고    scopus 로고
    • A front tracking method for dendritic solidification
    • Juric D., Tryggvason G. A front tracking method for dendritic solidification. J. Comput. Phys. 123:1996;127.
    • (1996) J. Comput. Phys. , vol.123 , pp. 127
    • Juric, D.1    Tryggvason, G.2
  • 9
    • 4243643071 scopus 로고    scopus 로고
    • Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics
    • Karma A., Rappel W. J. Phase-field method for computationally efficient modeling of solidification with arbitrary interface kinetics. Phys. Rev. E. 53:1996;3017.
    • (1996) Phys. Rev. e , vol.53 , pp. 3017
    • Karma, A.1    Rappel, W.J.2
  • 10
    • 34249817369 scopus 로고
    • Modeling and numerical simulations of dendritic crystal growth
    • Kobayashi R. Modeling and numerical simulations of dendritic crystal growth. Physica D. 63:1993;410.
    • (1993) Physica D , vol.63 , pp. 410
    • Kobayashi, R.1
  • 11
    • 0342583796 scopus 로고
    • Instabilities and pattern formation in crystal growth
    • Langer J. S. Instabilities and pattern formation in crystal growth. Rev. Mod. Phys. 52:1980;1.
    • (1980) Rev. Mod. Phys. , vol.52 , pp. 1
    • Langer, J.S.1
  • 12
    • 0000585550 scopus 로고
    • Lectures in the theory of pattern formation
    • J. Souletie, J. Vannimenus, & R. Stora. Amsterdam: North Holland
    • Langer J. S. Lectures in the theory of pattern formation. Souletie J., Vannimenus J., Stora R. Chance and Matter. 1987;629-711 North Holland, Amsterdam.
    • (1987) Chance and Matter , pp. 629-711
    • Langer, J.S.1
  • 15
    • 0000300747 scopus 로고
    • Motion of multiple junctions: A level set approach
    • Merriman B., Bence J. K., Osher S. J. Motion of multiple junctions: A level set approach. J. Comput. Phys. 112:1994;334.
    • (1994) J. Comput. Phys. , vol.112 , pp. 334
    • Merriman, B.1    Bence, J.K.2    Osher, S.J.3
  • 16
    • 36849120852 scopus 로고
    • Stability of a planar interface during solidification of a dilute binary alloy
    • Mullins W. W., Sekerka R. F. Stability of a planar interface during solidification of a dilute binary alloy. J. Appl. Phys. 35:1964;444.
    • (1964) J. Appl. Phys. , vol.35 , pp. 444
    • Mullins, W.W.1    Sekerka, R.F.2
  • 17
    • 0001504699 scopus 로고
    • An adaptive finite element method for two-phase Stefan problems in two space dimensions. Part II: Implementation and numerical experiments
    • Nochetto R. H., Paolini M., Verdi C. An adaptive finite element method for two-phase Stefan problems in two space dimensions. Part II: Implementation and numerical experiments. SIAM J. Sci. Stat. Comput. 12:1991;1207.
    • (1991) SIAM J. Sci. Stat. Comput. , vol.12 , pp. 1207
    • Nochetto, R.H.1    Paolini, M.2    Verdi, C.3
  • 18
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S., Sethian J. A. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79:1988;12.
    • (1988) J. Comput. Phys. , vol.79 , pp. 12
    • Osher, S.1    Sethian, J.A.2
  • 20
    • 45149136070 scopus 로고
    • Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
    • Penrose O., Fife P. C. Thermodynamically consistent models of phase-field type for the kinetics of phase transitions. Physica D. 43:1990;44.
    • (1990) Physica D , vol.43 , pp. 44
    • Penrose, O.1    Fife, P.C.2
  • 21
    • 0040047666 scopus 로고
    • Modeling crystal growth in a diffusion field using fully faceted interfaces
    • Roosen A. R., Taylor J. E. Modeling crystal growth in a diffusion field using fully faceted interfaces. J. Comput. Phys. 114:1994;113.
    • (1994) J. Comput. Phys. , vol.114 , pp. 113
    • Roosen, A.R.1    Taylor, J.E.2
  • 22
    • 38249002184 scopus 로고
    • An enthalpy scheme for Stefan problems in several dimensions
    • Rose M. E. An enthalpy scheme for Stefan problems in several dimensions. App. Numerical Math. 12:1993;229.
    • (1993) App. Numerical Math. , vol.12 , pp. 229
    • Rose, M.E.1
  • 23
    • 0030137571 scopus 로고    scopus 로고
    • Computation of three dimensional dendrites with finite elements
    • Schmidt A. Computation of three dimensional dendrites with finite elements. J. Comput. Phys. 125:1996;293.
    • (1996) J. Comput. Phys. , vol.125 , pp. 293
    • Schmidt, A.1
  • 24
    • 0000655661 scopus 로고
    • Crystal growth and dendritic solidification
    • Sethian J., Strain J. Crystal growth and dendritic solidification. J. Comput. Phys. 98:1992;231.
    • (1992) J. Comput. Phys. , vol.98 , pp. 231
    • Sethian, J.1    Strain, J.2
  • 25
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
    • Shu C. W., Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes, II. J. Comput. Phys. 77:1988;439.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439
    • Shu, C.W.1    Osher, S.2
  • 26
    • 4243849388 scopus 로고
    • Linear stability of planar solidification fronts
    • Strain J. Linear stability of planar solidification fronts. Physica D. 30:1988;297.
    • (1988) Physica D , vol.30 , pp. 297
    • Strain, J.1
  • 27
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114:1994;146.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 28
    • 0030210763 scopus 로고    scopus 로고
    • Algorithms for phase field computation of the dendritic operating state at large supercoolings
    • Wang S-L., Sekerka R. F. Algorithms for phase field computation of the dendritic operating state at large supercoolings. L. Comput. Phys. 127:1996;110.
    • (1996) L. Comput. Phys. , vol.127 , pp. 110
    • Wang, S-L.1    Sekerka, R.F.2
  • 29
    • 0029325986 scopus 로고
    • How does a metal freeze? A phase-field model of alloy solidification
    • Warren J. How does a metal freeze? A phase-field model of alloy solidification. Comput. Sci. Eng. 2:1995;38.
    • (1995) Comput. Sci. Eng. , vol.2 , pp. 38
    • Warren, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.